8000072 has 16 divisors (see below), whose sum is σ = 15055740. Its totient is φ = 3985216.

The previous prime is 8000071. The next prime is 8000087. The reversal of 8000072 is 2700008.

It can be written as a sum of positive squares in 2 ways, for example, as 5827396 + 2172676 = 2414^2 + 1474^2 .

8000072 is a modest number, since divided by 72 gives 8 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 8000072.

It is not an unprimeable number, because it can be changed into a prime (8000071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 638 + ... + 4050.

Almost surely, 2^8000072 is an apocalyptic number.

It is an amenable number.

8000072 is a deficient number, since it is larger than the sum of its proper divisors (7055668).

8000072 is a wasteful number, since it uses less digits than its factorization.

8000072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 8000072 is about 2828.4398526396. The cubic root of 8000072 is about 200.0005999982. Note that the first 3 decimals are identical.

It can be divided in two parts, 80000 and 72, that multiplied together give a square (5760000 = 2400²).

The spelling of 8000072 in words is "eight million, seventy-two", and thus it is an aban number and an uban number.